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4232478240 = 253255355457
BaseRepresentation
bin1111110001000110…
…0111111000100000
3101220222011011122100
43330101213320200
532132003300430
61535552410400
7206612320464
oct37421477040
911828134570
104232478240
11188213a601
129a1546a00
13525b3a9c3
142c218c4a4
1519b897960
hexfc467e20

4232478240 has 144 divisors (see below), whose sum is σ = 14716113048. Its totient is φ = 1107345408.

The previous prime is 4232478223. The next prime is 4232478241. The reversal of 4232478240 is 428742324.

4232478240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2363126544 + 1869351696 = 48612^2 + 43236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4232478195 and 4232478204.

It is not an unprimeable number, because it can be changed into a prime (4232478241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48592 + ... + 104048.

Almost surely, 24232478240 is an apocalyptic number.

4232478240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358056524).

4232478240 is an abundant number, since it is smaller than the sum of its proper divisors (10483634808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4232478240 is a wasteful number, since it uses less digits than its factorization.

4232478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55531 (or 55520 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4232478240 is about 65057.4994908350. The cubic root of 4232478240 is about 1617.5768070122.

The spelling of 4232478240 in words is "four billion, two hundred thirty-two million, four hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 55457 76320 110914 166371 221828 277285 332742 443656 499113 554570 665484 831855 887312 998226 1109140 1330968 1663710 1774624 1996452 2218280 2495565 2661936 2939221 3327420 3992904 4436560 4991130 5323872 5878442 6654840 7985808 8817663 8873120 9982260 11756884 13309680 14696105 15971616 17635326 19964520 23513768 26452989 26619360 29392210 35270652 39929040 44088315 47027536 52905978 58784420 70541304 79858080 88176630 94055072 105811956 117568840 132264945 141082608 176353260 211623912 235137680 264529890 282165216 352706520 423247824 470275360 529059780 705413040 846495648 1058119560 1410826080 2116239120 4232478240